Depending on the type of net,that would most likely be a 'trawler', although a 'drifter' is possible.
Trawler
fishing net consisting of three layers, one fine between two coarse layers
Small boats and pleasure craft uses the Erie Canal today. It is also a cycling trail and used for fishing. But there still is some commercial traffic.
leaves behind a trail to himself...
Smoke trail is the trail of smoke left behind by an aircraft as it flies in the sky.
lead fishing sinker
A pheromone scent trail.
Lurk-lining is a fishing technique that involves using a baited line that is left to trail behind a slowly moving boat. This method is often used to catch fish that follow the boat's movement and are enticed by the bait. Lurk-lining is common in commercial and recreational fishing.
jet plains have a white trail behind because of the moisture for some time. in higher layer of atmosphere where there is hot air to disturb it. this trail is suspeded for a long time
Follow. Trail.
To trail behind somebody or something.
They walked or the were in wagons.